W(w+3)+104=2(w+3)(w-1)

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Solution for W(w+3)+104=2(w+3)(w-1) equation:


Simplifying
W(w + 3) + 104 = 2(w + 3)(w + -1)

Reorder the terms:
W(3 + w) + 104 = 2(w + 3)(w + -1)
(3 * W + w * W) + 104 = 2(w + 3)(w + -1)
(3W + wW) + 104 = 2(w + 3)(w + -1)

Reorder the terms:
104 + 3W + wW = 2(w + 3)(w + -1)

Reorder the terms:
104 + 3W + wW = 2(3 + w)(w + -1)

Reorder the terms:
104 + 3W + wW = 2(3 + w)(-1 + w)

Multiply (3 + w) * (-1 + w)
104 + 3W + wW = 2(3(-1 + w) + w(-1 + w))
104 + 3W + wW = 2((-1 * 3 + w * 3) + w(-1 + w))
104 + 3W + wW = 2((-3 + 3w) + w(-1 + w))
104 + 3W + wW = 2(-3 + 3w + (-1 * w + w * w))
104 + 3W + wW = 2(-3 + 3w + (-1w + w2))

Combine like terms: 3w + -1w = 2w
104 + 3W + wW = 2(-3 + 2w + w2)
104 + 3W + wW = (-3 * 2 + 2w * 2 + w2 * 2)
104 + 3W + wW = (-6 + 4w + 2w2)

Solving
104 + 3W + wW = -6 + 4w + 2w2

Solving for variable 'W'.

Move all terms containing W to the left, all other terms to the right.

Add '-104' to each side of the equation.
104 + 3W + -104 + wW = -6 + 4w + -104 + 2w2

Reorder the terms:
104 + -104 + 3W + wW = -6 + 4w + -104 + 2w2

Combine like terms: 104 + -104 = 0
0 + 3W + wW = -6 + 4w + -104 + 2w2
3W + wW = -6 + 4w + -104 + 2w2

Reorder the terms:
3W + wW = -6 + -104 + 4w + 2w2

Combine like terms: -6 + -104 = -110
3W + wW = -110 + 4w + 2w2

Reorder the terms:
110 + 3W + -4w + wW + -2w2 = -110 + 4w + 2w2 + 110 + -4w + -2w2

Reorder the terms:
110 + 3W + -4w + wW + -2w2 = -110 + 110 + 4w + -4w + 2w2 + -2w2

Combine like terms: -110 + 110 = 0
110 + 3W + -4w + wW + -2w2 = 0 + 4w + -4w + 2w2 + -2w2
110 + 3W + -4w + wW + -2w2 = 4w + -4w + 2w2 + -2w2

Combine like terms: 4w + -4w = 0
110 + 3W + -4w + wW + -2w2 = 0 + 2w2 + -2w2
110 + 3W + -4w + wW + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
110 + 3W + -4w + wW + -2w2 = 0

The solution to this equation could not be determined.

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